I need to perform the following operation and simplify, but I am stuck:

x cubed - 1 / x-1

I am having trouble in factoring the x cubed -1

Question

I need to perform the following operation and simplify, but I am stuck:

x cubed - 1 / x-1

I am having trouble in factoring the x cubed -1

anonymous · Answer

x^3-1 = (x-1)(x^2+x+1)

anonymous · Answer

Can I ask how the factoring is done.  The answer makes sense and is correct, but how do you get there? I would like to understand. Can you explain?

anonymous · Answer

use difference of cubes factor formula


A^3 - B^3 = (A-B)(A^2+AB+B^2)

anonymous · Answer

Thank you.  Have been out of algebra for quite a while and am brushing up.  Did not remember that formula.  Appreciate it!!